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Finding the Fourth Proportional to 7,071.84, 10,591.35 and 6,825.81

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Solution

The fourth proportional to 7,071.84, 10,591.35 and 6,825.81 is: 10,222.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.84 : 10,591.35 = 6,825.81 : x
  2. Step 2: Convert to fraction form
    7,071.84/10,591.35 = 6,825.81/x
  3. Step 3: Cross multiply
    7,071.84x = 10,591.35 × 6,825.81
  4. Step 4: Simplify right side
    7,071.84x = 72,294,542.74
  5. Step 5: Solve for x
    x = 72,294,542.74/7,071.84
  6. Step 6: Final answer
    x = 10,222.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.